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Finding the Third Proportional to 112,852 and 171,493.50

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Solution

The third proportional to 112,852 and 171,493.50 is: 260,606.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,852 : 171,493.50 = 171,493.50 : x
  2. Step 2: Convert to fraction form
    112,852/171,493.50 = 171,493.50/x
  3. Step 3: Cross multiply
    112,852x = 171,493.50 × 171,493.50
  4. Step 4: Simplify right side
    112,852x = 29,410,020,542.25
  5. Step 5: Solve for x
    x = 29,410,020,542.25/112,852
  6. Step 6: Final answer
    x = 260,606.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.